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3 years ago

Ryan tried to solve the system of equations shown below.

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

I believe the answer is A

He is correct. If the second equation is multiplied by 2 and added to the first equation, the result is 0=3 , which means the system has no solution.

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This is a true or false question. (Question in the photo)

Vedmedyk [2.9K]

Answer:

Step-by-step explanation: The answer is False.

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3 years ago

Read 2 more answers

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

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3 years ago

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maksim [4K]

Answer:

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4 years ago

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scoundrel [369]

Answer:

volume = 381 in°

Step-by-step explanation:

volume = (16 x 7 x 3) + (0.5 x 3 x 5 x 6) = 336 + 45 = 381 in°

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3 years ago

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Dmitrij [34]

Answer: -7.5

Step-by-step explanation:

area = 1/2bh.

area = 1/2(x+6)(5)

area = x/2 + 15

area = x/2 = -15

area = x = -7.5

area = -7.5

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3 years ago